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256988329 = 13211313457
BaseRepresentation
bin11110101000101…
…01010010101001
3122220120100201021
433110111102221
51011242111304
641300052441
76240236053
oct1724252251
9586510637
10256988329
11122077154
1272094121
134131b500
14261b88d3
1517864a54
hexf5154a9

256988329 has 12 divisors (see below), whose sum is σ = 280760796. Its totient is φ = 235103232.

The previous prime is 256988327. The next prime is 256988351. The reversal of 256988329 is 923889652.

It is a happy number.

256988329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 27405225 + 229583104 = 5235^2 + 15152^2 .

It is not a de Polignac number, because 256988329 - 21 = 256988327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256988321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12369 + ... + 25825.

It is an arithmetic number, because the mean of its divisors is an integer number (23396733).

Almost surely, 2256988329 is an apocalyptic number.

It is an amenable number.

256988329 is a deficient number, since it is larger than the sum of its proper divisors (23772467).

256988329 is a wasteful number, since it uses less digits than its factorization.

256988329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13596 (or 13583 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 256988329 is about 16030.8555292598. The cubic root of 256988329 is about 635.7764936257.

The spelling of 256988329 in words is "two hundred fifty-six million, nine hundred eighty-eight thousand, three hundred twenty-nine".

Divisors: 1 13 113 169 1469 13457 19097 174941 1520641 2274233 19768333 256988329